Yes, you can use your own Favicon (Favorites Icon).  You need to have a file that is an .ICO file type.  And it can be no larger then 16x16.

You can convert any image you have to an Icon file.  Here is a free 3rd party service that will do it. http://image.online-convert.com/convert-to-ico

 NOTE: 16x16 pixels is the size that your favicon will be displayed in a browser. This is very small. So while you can convert any image into a favicon, most logos & or even partial company names will not be appropriate. Contact Support if you're interested in having WebsiteForge design a favicon for you.